Laws of Positive Exponents

Power to a Power Law states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

• x³y⁵

• x¹²y¹²

• x²⁴y¹⁸

• x¹⁰⁸y⁴⁵

Solve (hint: there's more than 1 law you must obey)

• a¹⁴b¹⁶

• (a⁷b)(ab⁸⁾

• a¹²b⁴a²b¹²

Division Law states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

What is the capital of France?

• Paris

• London

• Berlin

• Madrid

Solve  

• c³⁰
• c¹
• c¹¹

Solve

• h¹⁹

• h⁹⁰

• h^-1

• 1/h¹

Solve (hint: there's more than 1 law you must obey)

• x²⁸y¹² / x²y

• x²⁸y¹² / x⁸y⁴

• x²⁰y⁸

Simplify:
x⁵ ÷ x²

• x⁷

• x³

• x¹⁰

• x^2.5

Simplify:
(x³)(x²)

• x⁵

• x⁶

• x

• x^1.5